Let R be a commutative ring with ١, and let Aut(R) denote the group of ring
automorphisms of R. We will usually consider a group G⊆ Aut(R).
In this paper we will study the relation between G- invariant ideals and their traces.
Also we study C.P modules and C.F modules.

In this paper we prove some theorems, the first states: If R is an almost
Noetherian domain, then the following statements are equivalent: ١- R is an almost
Dedekind domain.
٢- A(B∩C)= AB∩AC, for all ideals A, B and C of R. ٣- (A+B)(A∩B)= AB, for all
ideals A and B of R and the second states: If R is an almost Noetherian domain
which is not a field, then the following statements are equivalent: ١- R is a valuation
domain. ٢- The nonunits of R form a nonzero principal ideal of R. ٣- R is integrally
closed and has exactly one nonzero proper prime ideal. In addition to the above
some other results are proved.

Injana Formation is the most extended geological formation in Salahaddin Governorate/ Iraq. About 10% of the studied area is covered by the outcrops of the formation as a recharge area. The formation is a subsurface within the unsaturated zone in 5% of the total studied area, while it exists within the saturated zone in about 85%; it is a major confined groundwater aquifer. Therefore, the hydrogeological system of the layers needs to be re-evaluated to describe the successions of aquifers and confining layers and their relation with each other.

The lithology, depths, water table, saturated thickness, hydraulic characteristics of the aquifers, and the lateral and vertical variations of these characteristics were adopted to classif

Five additives were used in this work namely: tetra ethyl ammonium tribromophenyl phosphine (I), tetra ethyl ammonium chlorodibromophenyl phosphine (II) chlorinated rubber (III), a mixture of 50% by weight of each of I and III (additive IV), a mixture of 50% by weight of each of II and III (additiveV) in order to study the synergetic effect of these compounds as flame retardants with epoxy and unsaturated polyester resins.
The results showed that all these additives are active and the synergetic effect was very clear in which the additives IV and V gave the best results. The retarding activity of these compounds is following the order:-
IV > V > I > II > III
The tests depended on the ASTM ( in which the limitin

The presence of natural radioactivity in soil and other materials results in internal and external exposure in twelve samples at Al_Dura Heating generator at south of Baghdad using NaI(Ti) detector .Therefore, it is desirable to determine the concentration of naturally occurring radionuclide's238 U 232Th and 40 K,.. natural radioactivity and associated radiation hazard in some soil samples. The natural radioactivity due to the presence of 238 U 232Th and40 K in soil samples was measured by gamma spectrometry using NaI(Tl) scintillation well-shaped detector. In this context, soil samples were collected from thirty different locations of southern Al-Dura thermal Power Plant.Radium equivalent activities were calculatedfor the analyzed sampl

Let H and K be separable complex Hilbert spaces, and let B(H,K) be the space of bounded linear operators from H to K. If H=K we write B(H) for B(H,H).In this note we study separating vectors for separators on B(HK) that have representations of the form , where AB(H),BB(K) and CB(K,H).

Optic Disc (OD) localization is a basic step for the screening, identification and appreciation of the risk of diverse ophthalmic pathologies such as glaucoma and diabetic retinopathy.In fact, the fundamental step towards an exact OD segmentation process is the success of OD localization. This paper proposes a fully automatic procedure for OD localization based on two of the OD most relevant features  of high-intensity value and vasculature convergence. Merging ofthese two features renders the proposed method capable of localizing the OD within the variously complicated environments such as the faint disc boundary, unbalanced shading, and the existence of retinal pathologies like cotton wall and exudates,which usually share the same

    Clustering is an unsupervised learning method that classified data according to similarity probabilities. DBScan as a high-quality algorithm has been introduced for clustering spatial data due to its ability to remove noise (outlier) and constructing arbitrarily shapes. However, it has a problem in determining a suitable value of Eps parameter. This paper proposes a new clustering method, termed as DBScanBAT, that it optimizes DBScan algorithm by BAT algorithm. The proposed method automatically sets the DBScan parameters (Eps) and finds the optimal value for it. The results of the proposed DBScanBAT automatically generates near original number of clusters better than DBScanPSO and original DBScan. Furthermore, the proposed method

In this paper ,we introduce hollow modules with respect to an arbitrary submodule .Let M be a non-zero module and T be a submodule of M .We say that M is aT-hollow module if every proper submodule K of M such that T ⊈ K is a T-small submodule of M .We investigate the basic properties of a T-hollow module

The main purpose of this work is to generalize Daif's result by introduceing the concept of Jordan (α β permuting 3-derivation on Lie ideal and generalize these result by introducing the concept of generalized Jordan (α β permuting 3-derivation 

Effect Anti-Mullerian Hormone (AMH) on thyroid levels in patients with and
without polycystic ovarian syndrome PCOS was studied, The results showed an
increase in AMH ,T3 ,T4 with increase of age while TSH , BMI decreased with
increase of age comparing to control in hyperthyroidism with PCOS patients.
Otherwise an increase in AMH, TSH, BMI, T3 and T4 with increase of Age
compared to healthy group in hyperthyroidism without PCOS. Effect of ovarian
hormones (AMH) on inventory levels of thyroid and perturbations in terms of
increases and its impact obesity as well as fertility in women was declared in this
research. Serum Anti-Müllerian Hormone (AMH) was assessed using enzyme linked
immunosorbent kit [Elisa] whil

In this paper, a computer simulation is implemented to generate of an optical aberration by means of Zernike polynomials. Defocus, astigmatism, coma, and spherical Zernike aberrations were simulated in a subroutine using MATLAB function and applied as a phase error in the aperture function of an imaging system. The studying demonstrated that the Point Spread Function (PSF) and Modulation Transfer Function (MTF) have been affected by these optical aberrations. Areas under MTF for different radii of the aperture of imaging system have been computed to assess the quality and efficiency of optical imaging systems. Phase conjugation of these types aberration has been utilized in order to correct a distorted wavefront. The results showed that

Twenty four soil samples were collected from different sites in north sector of East Baghdad oil field, Iraq , and analyzed to assess the impact of urbanization and industrialization essential pollution. The soil samples were analyzed for heavy metals (As, Cd, Cr, Cu, Hg, Ni, Pb, and Zn) by using inductively coupled plasma–mass spectrometry (ICP-MS). Mean concentration of heavy metals in soil samples follows this pattern: Zn > Ni > Cr > Cu >Pb > As> Cd> Hg. The results show significant variations (lower and higher) in the concentrations of heavy metals compared with local and world studies, this variation is attributed to the natural anthropogenic sources. The pollution of studied soil was assessed using many soil

Seismic inversion technique is applied to 3D seismic data to predict porosity property for carbonate Yamama Formation (Early Cretaceous) in an area located in southern Iraq. A workflow is designed to guide the manual procedure of inversion process. The inversion use a Model Based Inversion technique to convert 3D seismic data into 3D acoustic impedance depending on low frequency model and well data is the first step in the inversion with statistical control for each inversion stage. Then, training the 3D acoustic impedance volume, seismic data and porosity wells data with multi attribute transforms to find the best statistical attribute that is suitable to invert the point direct measurement of porosity from well to 3D porosity distribut

     In this study, the comets have distributions regarding their heliocentric distances where they appear in two regions, Kuiper belt (short period) and Oort cloud (long period). Details here give new information about the entire regions of these comets; the research shows that 54% of comets are nearby asteroid belt, but only 11% are in Kuiper belts and 35 % are from Oort cloud. The research focuses on comets with a nucleus's radius larger than 1 km.  The comets with a nuclear radius of 1-10 km have high percentage 51%.

         From the results, the maximum comets' radius is found in comet 29P/Schwassmann -Wachmann as roughly 87 km, and also in comet C/2018 N2 (ASASSN) which has radius 88 km. All comets, that have b

Epilepsy is a critical neurological disorder with critical influences on the way of living of its victims and prominent features such as persistent convulsion periods followed by unconsciousness. Electroencephalogram (EEG) is one of the commonly used devices for seizure recognition and epilepsy detection. Recognition of convulsions using EEG waves takes a relatively long time because it is conducted physically by epileptologists. The EEG signals are analyzed and categorized, after being captured, into two types, which are normal or abnormal (indicating an epileptic seizure).  This study relies on EEG signals which are provided by Arrhythmia Database. Thus, this work is a step beyond the traditional database mission of delivering use

Meta-heuristic algorithms have been significantly applied in addressing various real-world prediction problem, including in disease prediction. Having a reliable disease prediction model benefits many parties in providing proper preparation for prevention purposes. Hence, the number of cases can be reduced. In this study, a relatively new meta-heuristic algorithm namely Barnacle Mating Optimizer (BMO) is proposed for short term dengue outbreak prediction. The BMO prediction model is realized over real dengue cases data recorded in weekly frequency from Malaysia. In addition, meteorological data sets were also been employed as input. For evaluation purposes, error analysis relative to Mean Absolute Percentage Error (MAPE), Mean Square Err

This work involves the preparation of high yield iminochalcon compounds (B1-B15)  through two parts. The first part involves the preparation of 2,4-dihydroxy Chalcone (A1-A15) by the condensation of 2,4-dihydroxy acetophenone  with  aryl aldehyde in the presence of sodium hydroxide (40%) as a catalyst. The second part includes the preparation of  iminochalcon from the condensation of p-hydroxy aniline with 2,4-dihydroxy chalcone  derivatives  )A1-A15)  in the presence of some drops of conc. H₂SO₄. Thin-layer chromatography ((TLC)  was used to control the chemical reaction . These new derivatives were characterized by using FT-IR and  1H-NMR spectroscopy. These synthesized

The aim of the preset study is to explain the role of irisin hormone levels in type-2 obese diabetic women and compare these levels with those in obese nondiabetic women. In addition, we investigated the relation of irisin levels with those of glycated hemoglobin (HbA_1c) and body mass index (BMI) in the patients.

Eighty eight subjects were included in this study, including 44 type-2 Iraqi obese diabetic women as a patients group, and 44 obese nondiabetic women as a control group. Serum irisin was measured by Enzyme-linked Immune-Sorbent assay (ELISA), while determination of glycosylated Hemoglobin was carried out by The SD A1c Care^TM system. Diabetic type-2 obese women showed a highly significant decrease in

          Fruits sorting, recognizing, and classifying are essential post-harvest operations, as they contribute to the quality of food industry, thereby increasing the exported quantity of food. Today, an automated system for fruit classification and recognition is very important, especially when exporting to markets where quality of fruit must be high. In this study, the advantages and disadvantages of the various shape-based feature extraction algorithms and technologies that are used in sorting, classifying, and grading of fruits, as well as fruits quality estimation, are discussed in order to provide a good understanding of the use of shape-based feature extraction techniques.

Nasiriyah oilfield is located in the southern part of Iraq. It represents one of the promising oilfields. Mishrif Formation is considered as the main oil-bearing carbonate reservoir in Nasiriyah oilfield, containing heavy oil (API 25^o(. The study aimed to calculate and model the petrophysical properties and build a three dimensional geological model for Mishrif Formation, thus estimating the oil reserve accurately and detecting the optimum locations for hydrocarbon production.

Fourteen vertical oil wells were adopted for constructing the structural and petrophysical models. The available well logs data, including density, neutron, sonic, gamma ray, self-potential, caliper and resistivity logs were used to calculate the

The present study was conducted to induce mutations by UV- light in Trichoderma harzianum for tolerance of Bavistin fungicides which are commonly used to control soil born phytopathogens. The mycelium growth of T. harzianum T1, T2 was inhibited completely by 30 μg (a.i.) /ml PDA of Bavistin. Two isolates of Trichoderma harzianum T1 and T2 conidia suspensions 104 conidia / ml were irradiated by UV lights at 254, 320, 365nm wavelength for 10, 20, 40, 80, 160 min using UV dark room cabinet and spectrophotometer and cultured on PDA media containing 50, 60, 75, 100, and 150 μg (a.i) / ml Bavistin. A thirty one unstable mutants tolerant to Bavistin were obtained after irradiation the T. harzianum T1, T2 conidia suspension 104 conidia / ml by

Five bread wheat cultivars was selected namely, IPA99, Tamouz 2, Rasheed, Abu-ghraib And Iraq, were selected for susceptibility to green bug, Schizaphis graminum R.(Aphididae: Homoptera) infestation. Experiments done in under laboratory temperature 20±2C˚, humidity 65±5 % at 12h light. Results have indicated that IPA99 was highly preferred by in S. graminum and no significant of differences with Rasheed and Abu-ghraib, while Iraq and Tamouz2 came second. Although all wheat cultivars were infested by S. graminum except Iraq cultivar which showed some tolerance when exposed to three densities of 5, 10, ap plant during the time of test was 4 weeks. the development time of nymphs were 8, 8, 9, 9.3and 8.3 days for cultivars IPA99, Tamoz2,

Abstract:
Eclipta alba is a weed growing in damp, moist puddles distributed in the tropical and subtropical regions, so the most weight of the plant is water, which reached in to 90%. The extraction method by using different solvents (Methanol, Ethanol, Hexane and Aqueous) showed, the best yield with methanol reached to 76%, and the yield decreased with ethanol and hexane reached 55% and 53% respectively, while the minimum yield observed with aqueous hot and cold extraction reached 11% and 5% respectively. The phytochemical compound characterization showed the compounds (Coumarines , Flavones ,Volatile Oil ,Tannins , Saponines , Glycosides ,Carbohydrates ,Alkaloids , Resins) with different percentage. The thin layer chromatography det

Lovastatin is one of the most important compounds that is produced from some filamentous fungi, being employed in the reduction of hypocholesterolemia. The results of screening, after the collection of seventy-three local fungal isolates from different areas, demonstrated that the local isolate Aspergillus terreus A50 was the best isolate for lovastatin production, with a concentration of 12.66 µg/ml, through the submerged fermentation. Lovastatin produced from A. terreus A50 showed antimicrobial activities against a Candida albicans isolate. Solid state fermentation (SSF) was the best system to produce the highest yield of lovastatin by A. terreus A50 as compared to the submerged fermentation (SmF)

Non tuberculous mycobacteria (NTM) present in the environment, mainly in water and not transmitted from human to human. The lung is the most common target of NTM infections in human. The symptoms of NTM infection are: fever, weight loss and abdominal pain.
114 sputum samples were examined microscopically using Ziehl-Nelsen stain, all were positive. They cultured on Lowenstein-Jensen media.
The results of this study indicate presence of 3 (2.6%) of rapidly growing mycobacteria, phenotypically they resemble T.B. bacilli. They were diagnosed by biochemical tests, they were positive for catalase and pyruvate, negative for niacin, nitrate reduction test, sensitive for Thiophene-2-carboxyl acid hydrozide test& resistant for Para nitr

Refractory mortar was prepared from the mixing of locally fire clay with different percentage of silica powder (30,40,50,60)wt% by using Pyrometric Cone Equivalent PCE . According to the U.S. Standard ASTM C24, the samples were prepared by using Hand – molding method and dried at temperature 110⁰C and finally firing at different temperature (1000,1100,1200,1300)⁰C according to burning program to study the effect of temperatures for these specimens on the thermal durability .It was shown that the increasing in the percentage of silica content increased the durability of heat specimens, and the best degree of burn was 1300°C.

Pandemic COVID-19 is a contagious disease affecting more than 200 countries, territories, and regions. Recently, Iraq is one of the countries that have immensely suffered from this outbreak. The Kurdistan Region of Iraq (KRI) is also prone to the disease. Until now, more than 23,000 confirmed cases have been recorded in the region. Since the onset of the COVID-19 in Wuhan, based on epidemiological modelling, researchers have used various models to predict the future of the epidemic and the time of peak, yielding diverse numbers in different countries. This study aims to estimate the basic reproductive number [R₀] for COVID-19 in KRI, using the standard SIR (Susceptible-Infected-Removed) epidemic model. A system of non

A series of polymers containing1,2,4-triazole  and tetrazole groups in their main chains were synthesized through several steps. Poly(acryloyl hydrazide) was first prepared and then subjected to a hydrazide reaction with phenyl isothiocyanate to give a 1,2,4-triazole ring (2). This polymer was introduced into a reaction with chloro acetylchloride to yield polymer (3), which was refluxed with sodium azide to give polymer (4). Polymer (5) was synthesized by the reaction of polymer (4) with  acrylonitrile in the presence of NH₄Cl as a catalyst. Finally, polymer (6) was synthesized by the electrochemical polymerization of polymer (5) using  316L stainless steel as an anti-corrosion coating. Polymer-coated and uncoat

Fractal image compression depends on representing an image using affine transformations. The main concern for researches in the discipline of fractal image compression (FIC) algorithm is to decrease encoding time needed to compress image data. The basic technique is that each portion of the image is similar to other portions of the same image. In this process, there are many models that were developed. The presence of fractals was initially noticed and handled using Iterated Function System (IFS); that is used for encoding images. In this paper, a review of fractal image compression is discussed with its variants along with other techniques. A summarized review of contributions is achieved to determine the fulfillment of fractal image co